Write without negative indices: a^-3b/c^-1
a^-3 = 1/a^3
c^-1 = 1/c, so 1/(c^-1) = c^1
and we have
bc/a^3
To write the expression "a^-3b/c^-1" without negative indices, we can apply the rule that states: "Any term with a negative exponent can be moved to the opposite side of the fraction and become positive by flipping the base."
Using this rule, let's rewrite the expression:
a^-3b/c^-1
Step 1: Move "a^-3" to the denominator of the fraction and change the sign of the exponent.
b / (c^-1 * a^3)
Step 2: Move "c^-1" to the numerator of the fraction and change the sign of the exponent.
b * c^1 / a^3
Simplifying, we get:
bc / a^3
So, the expression "a^-3b/c^-1" can be written as "bc / a^3" without any negative indices.